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A particle of mass moves in 1 dimensional space with the following potential energy: (in figure)

where U0 and alpha are positive,

1) What is the minimum velocity a particle must have to go from the origin to infinity?

2) What is the angular frequency w of the oscillations around the stable equilibrium point?

U(<) = Us [2 E)´ - )']

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answer vii) onwards and dont use chatgpt thank you!